Can someone please help with those. press the picture for all

proportional relationship does not exist.

proportional relationship does exist.

proportional relationship does not exist.

proportional relationship does exist.

Step-by-step explanation:

To establish proportionality :

For data 1:

y α x

y = kx ; k = proportionality constant

Take x = 1 ; y = 5

5 = k

k = 5

Hence, to obtain other data points :

y = 5x (if data is proportional ; if otherwise, the data isn't proportional).

Take ; x = 2

y = 5* 2 = 10

10 ≠ 9

Hence, data isn't proportional.

2.)

Data 2:

y α x

y = kx ; k = proportionality constant

Take x = hours 2 ; y = miles = 110

110 = 2k

k = 110/2

k = 55

Take ; x = 5

y = 55*5 = 275

275 = 275 (proportional relationship exist)

3.)

For the graph:

First graph isn't proportional

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 8 at x = 6

Hence, proportional relationship does not exist.

4.)

For the 2nd graph:

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 12 at x = 6

Hence, proportional relationship does exist.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints